How do you get the derivative of 2(x)^(1/2) using the definition of derivative?

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- Apr 3rd 2008, 07:32 PMindigosheenDefintion of derivative
How do you get the derivative of 2(x)^(1/2) using the definition of derivative?

- Apr 3rd 2008, 07:34 PMMathstud28you
you use the quotient differnece if you know what that is?

- Apr 3rd 2008, 07:38 PMindigosheen
Yeah, but I always seem to get confused on how to fit f(x) into

f '(x)=**f(x+h)-f(x)**/h - Apr 3rd 2008, 07:41 PMMathstud28in this
first off remeber it is the lim as x goes to o and in this case f(x+h)=$\displaystyle 2(x+h)^{\frac{1}{2}}$ and f(x)=$\displaystyle 2(x)^{\frac{1}{2}}$...so it would be $\displaystyle \frac{2(x+h)^{\frac{1}{2}}-2(x)^{\frac{1}{2}}}{h}$ the limit of that as h goes to 0